142684681216 has 704 divisors, whose sum is σ = 404091555840. Its totient is φ = 48660480000.

The previous prime is 142684681211. The next prime is 142684681219. The reversal of 142684681216 is 612186486241.

It is a tau number, because it is divible by the number of its divisors (704).

It is a self number, because there is not a number n which added to its sum of digits gives 142684681216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142684681211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1412719566 + ... + 1412719666.

Almost surely, 2^142684681216 is an apocalyptic number.

142684681216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142684681216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202045777920).

142684681216 is an abundant number, since it is smaller than the sum of its proper divisors (261406874624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142684681216 is a wasteful number, since it uses less digits than its factorization.

142684681216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 204 counting only the distinct ones).

The product of its digits is 884736, while the sum is 49.

The spelling of 142684681216 in words is "one hundred forty-two billion, six hundred eighty-four million, six hundred eighty-one thousand, two hundred sixteen".